The three-parameter Mittag-Leffler function [1]} is determined by
\(E_{\alpha ,\beta }^{\gamma }(t)= \sum _{k=0}^{\infty }\frac{(\gamma )_k}{\Gamma (k \alpha +\beta )}\frac{t^{k}}{k!}, \quad \alpha >0, \quad \beta ,\gamma \in \mathbb {R}, \quad t\in \mathbb {R},\) 
